This is just the first step. The next step is actually calling each different insurance company and requesting a quote. When you call, be sure to give your current provider an accurate copy of your credit card information. Most people will not even give that information out! This way, if you change insurance companies you will know exactly which company provided you with the best deal on your coverage. When you ask each company the same questions, you will be able to get a quick idea about their policy.
Once you have your list of quotes in hand you should be able to call each company and get a cheap car insurance quote right away. Just make sure you do not forget to mention your age, gender, marital status, your driving history and any other personal details that would help the insurance companies understand who you are.